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Finding the Fourth Proportional to 603.02, 902.47 and 466.67

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Solution

The fourth proportional to 603.02, 902.47 and 466.67 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 902.47 = 466.67 : x
  2. Step 2: Convert to fraction form
    603.02/902.47 = 466.67/x
  3. Step 3: Cross multiply
    603.02x = 902.47 × 466.67
  4. Step 4: Simplify right side
    603.02x = 421,155.13
  5. Step 5: Solve for x
    x = 421,155.13/603.02
  6. Step 6: Final answer
    x = 698.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.